Description

Book Synopsis
Suitable for mathematicians, as well as mathematically literate scientists and engineers interested in harmonic analysis or wavelets, this work provides an understanding of the area of harmonic analysis relating to Littlewood-Paley theory and atomic and wavelet decompositions.

Table of Contents
Calderon's formula and a decomposition of $L^2(\mathbb R^n)$; Decomposition of Lipschitz spaces; Minimality of $\dot B^0,1_1$; Littlewood-Paley theory; The Besov and Triebel-Lizorkin spaces; The $\varphi$ -transform; Wavelets; Calderon-Zygmund operators; Potential theory and a result of Muckenhoupt-Wheeden; Further applications.

Littlewood Paley Theory and the Study of Functional Spaces Papers

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    A Paperback by American Mathem American Mathem

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      Publisher: MP-AMM American Mathematical
      Publication Date: Publication Date:
      ISBN13: 9780821807316, 978-0821807316
      ISBN10:

      Description

      Book Synopsis
      Suitable for mathematicians, as well as mathematically literate scientists and engineers interested in harmonic analysis or wavelets, this work provides an understanding of the area of harmonic analysis relating to Littlewood-Paley theory and atomic and wavelet decompositions.

      Table of Contents
      Calderon's formula and a decomposition of $L^2(\mathbb R^n)$; Decomposition of Lipschitz spaces; Minimality of $\dot B^0,1_1$; Littlewood-Paley theory; The Besov and Triebel-Lizorkin spaces; The $\varphi$ -transform; Wavelets; Calderon-Zygmund operators; Potential theory and a result of Muckenhoupt-Wheeden; Further applications.

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